{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Forecats Outbreak Size in Wuhan after City shut down\n",
    "\n",
    "#### Author: Yiran JIng\n",
    "#### Date: Feb 2 2020\n",
    "\n",
    "#### Data source:\n",
    "Chinese Center for Disease Control and Prevention (DOC) report from 8 Dec 2019 to Feb 2 2020.\n",
    "\n",
    "### SIR epidemic model\n",
    "\n",
    "- S for the number susceptible,指未得病者，但缺乏免疫能力，与感病者接触后容易受到感染。\n",
    "- I for the number of infectious\n",
    "- R for the number removed: 移除人群是因病愈(具有免疫力)或死亡而不再参与感染和 被感染过程的人\n",
    "- N the constancy of population\n",
    "- β the effective `contact rate` of the disease: an infected individual comes into contact with βN other individuals per unit time\n",
    "- γ  is the mean recovery rate: that is, 1/γ is the mean period of time during which an infected individual can pass it on. i.e. the transition rate between I and R. If the mean duration of the infection is denoted D, then γ = 1/D\n",
    "- βI: transition rate between S and I\n",
    "\n",
    "It's assumed that the permanence of each single subject in the epidemic states is a random variable with exponential distribution. \n",
    "\n",
    "S(t)+I(t)+R(t)=N (consistent) # t is time \n",
    "\n",
    "### SEIR model\n",
    "\n",
    "In the SEIR model [1], during the course of an epidemics, a node is allowed to change its status from Susceptible (S) to Exposed (E) to Infected (I), then to Removed (R).\n",
    "\n",
    "SEIR assumes that if, during a generic iteration, a susceptible node comes into contact with an infected one, it becomes infected after an exposition period with probability beta, than it can switch to removed with probability gamma (the only transition allowed are S→E→I→R).\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import pandas\n",
    "from SEIR_model import SEIR\n",
    "from SIR_model import SIR\n",
    "from matplotlib import pyplot as plt\n",
    "from helper_fun_epi_model import *\n",
    "import scipy.optimize as optimization\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2019-nCoV case\n",
    "### Estimate parameters of Baseline:\n",
    "1. mu = 1/14, (suppose the mean duration of the infection is 14 days)\n",
    "1. S0 = N = 11000000, I0 = 1, R0 = 0\n",
    "   - In the initial status, suppose **N ≈ S** (i.e. all the people in are uninfected, expect one infected case, no people die or recovered)\n",
    "1. T = 7: The mean of incubation period is 7 days\n",
    "\n",
    "### Assumption:\n",
    "1. before 23 Jan, Suppose the mean of the number of people a confirmed case contacts daily is 5. (K = 5) (low conscuousness of wearing facial mask)\n",
    "2. after 23 Jan, k = 1 (high conscuousness of 2019-nCoV)\n",
    "3. The healed people will not be infective again. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Estimate the transmission probablity: 0.04 \n",
      "Estimated R0(basic reproduction number): 2.9\n",
      "\n"
     ]
    }
   ],
   "source": [
    "\"\"\"\n",
    "Data from Chinese Center for Disease Control and Prevention (DOC) \n",
    "\"\"\"\n",
    "# 2019-12-08 is the first date, when find the first case. \n",
    "t = np.asarray([0, 42, 43, 44, 45, 46])  # time\n",
    "I = np.asarray([1,198,218,320,478,639]) # number of official confirmed cases\n",
    "\n",
    "Est = Estimate_parameter(nu = 1/14, k = 5, t = t, I = I)\n",
    "print(Est)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### SEIR without vital dynamics\n",
    "#### Before 23 Jan \n",
    "- population in Wuhan is 11000000\n",
    "- people have low conscuousness of wearing facial mask, so k = 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Estimate the transmission probablity: 0.04 \n",
      "Estimated R0(basic reproduction number): 2.9\n",
      "\n",
      "Maximum infected case:  2107865\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "Baseline: before 23 Jan \n",
    "\n",
    "2019-12-08: \n",
    "I0 = 1: 1confirmed cases\n",
    "E0 = 5: Based on the data in Early Transmission Dynamics report, there are 5 cases were confirmed \n",
    "in the next 7 days after the first case. So E0 = 5. \n",
    "R0 = 0: no people died or recover\n",
    "\"\"\"\n",
    "\n",
    "baseline = Estimate_Wuhan_Outbreak(Est, k = 5, N=11000000,\n",
    "                E0 = 5, I0 = 1, R0 = 0, T=7, econ = 400)\n",
    "result = baseline._run_SIER('Estimated 2019-nCoV Outbreak in Wuhan Since 2019-12-08 without Government Control',\n",
    "        'Wuhan Population (x 10 million)', 'Days after 2019-12-08', death_rate = 0.03)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Estimate the transmission probablity: 0.04 \n",
      "Estimated R0(basic reproduction number): 2.9\n",
      "\n",
      "Maximum infected case:  3640631\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "S0 = N = 19000000: \n",
    "Considering the effective catchment population of Wuhan\n",
    "\"\"\"\n",
    "\n",
    "more_ppl = Estimate_Wuhan_Outbreak(Est, k = 5, N=19000000,\n",
    "                E0 = 5, I0 = 1, R0 = 0, T=7, econ = 400)\n",
    "result2 = more_ppl._run_SIER('Estimated 2019-nCoV Outbreak in Wuhan Since 2019-12-08 without Government Control',\n",
    "                             'Wuhan Population (x 10 million)', 'Days after 2019-12-08', death_rate = 0.03)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## After 23 Jan\n",
    "1. N = 9000000: official report the number of people stayed in Wuhan\n",
    "2. The case after Wuhan shut down (after 23 Jan):\n",
    "   - k = 1: high conscuousness of 2019-nCoV\n",
    "   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Estimate the transmission probablity: 0.04 \n",
      "Estimated R0(basic reproduction number): 2.9\n",
      "\n",
      "Maximum infected case:  14219\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "after Wuhan shut down (after 23 Jan)\n",
    "beta: The contact rate is half than before\n",
    "N = 9000000\n",
    "k = 1 # effective goverment control and individual protection\n",
    "\n",
    "2020 Feb 02:\n",
    "R0 = 175+224. curedCount: 175, deadCount: 224\n",
    "I0 = 4109 # offical number on 02 Feb\n",
    "\n",
    "Suppose E0 = I0*5: the number of ppl in incubation is 5 times the confirmed cases.\n",
    "\"\"\"\n",
    "#past_days = 47 # the number of past days after 2019-12-08\n",
    "case1 = Estimate_Wuhan_Outbreak(Est, k = 1, N=9000000,\n",
    "                E0 = 4109 * 5, I0 = 4109, R0 = (175+224), T=7, econ = 120)\n",
    "result2 = case1._run_SIER('Forecat 2019-nCoV Outbreak in Wuhan after 2020-02-02 using offical number',\n",
    "        'Wuhan Population','Days after 2020-02-02', death_rate = 0.03, show_Sus = False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Sensitivity Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Estimate the transmission probablity: 0.04 \n",
      "Estimated R0(basic reproduction number): 2.9\n",
      "\n",
      "Maximum infected case:  22230\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "case 1:\n",
    "S0 using the estimated result from model 1\n",
    "There are 46000 cases in wuhan until 23 Jan:\n",
    "   Assume the infected case are 20% only\n",
    "   The lefs are in incubation period\n",
    "Assume the death rate = cure rate = 3% \n",
    "\"\"\"\n",
    "N = 9000000\n",
    "I0 = 38500 *1/5\n",
    "E0 = 38500 * 4/5\n",
    "R0 = I0 * (0.03+0.03) # suppose the death rate is 3% (official), equal to cure rate\n",
    "k = 1\n",
    "# estimate beta and R0\n",
    "Est_beta = Est._estimate_transmission_probablity()*k\n",
    "\n",
    "case2 = Estimate_Wuhan_Outbreak(Est, k = 1, N=9000000,\n",
    "                E0 = E0, I0 = I0, R0 = R0, T=7, econ = 120)\n",
    "result3 = case2._run_SIER('Case 1: Forecat 2019-nCoV Outbreak in Wuhan after 2020-01-23 using estimated data',\n",
    "        'Wuhan Population','Days after 2020-01-23', death_rate = 0.03, show_Sus = False)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Estimate the transmission probablity: 0.04 \n",
      "Estimated R0(basic reproduction number): 3.7\n",
      "\n",
      "Maximum infected case:  16524\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "case2: Assume the mean duration of the infection is 30 days\n",
    "\"\"\"\n",
    "\n",
    "Est = Estimate_parameter(nu = 1/20, k = 5, t = t, I = I)\n",
    "\n",
    "Est_beta = Est._estimate_transmission_probablity()*k\n",
    "\n",
    "case2 = Estimate_Wuhan_Outbreak(Est, k = 1, N=9000000,\n",
    "                E0 = 4109 * 5, I0 = 4109, R0 = (175+224), T=7, econ = 120)\n",
    "result3 = case2._run_SIER('Case 2: Forecat 2019-nCoV Outbreak in Wuhan after 2020-02-02 using offical number',\n",
    "        'Wuhan Population','Days after 2020-02-02', show_Sus = False, death_rate = 0.03)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Estimate the transmission probablity: 0.04 \n",
      "Estimated R0(basic reproduction number): 3.7\n",
      "\n",
      "Maximum infected case:  101156\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "case3: Assume k = 2, rather than 1, \n",
    "         since some cases cannot be detected correctly or immediately, Also not perfect isolation\n",
    "\"\"\"\n",
    "\n",
    "Est = Estimate_parameter(nu = 1/20, k = 5, t = t, I = I)\n",
    "\n",
    "Est_beta = Est._estimate_transmission_probablity()*k\n",
    "\n",
    "case2 = Estimate_Wuhan_Outbreak(Est, k = 2, N=9000000,\n",
    "                E0 = 4109 * 5, I0 = 4109, R0 = (175+224), T=7, econ = 120)\n",
    "result3 = case2._run_SIER('Case 3: Forecat 2019-nCoV Outbreak in Wuhan after 2020-02-02 using offical number',\n",
    "        'Wuhan Population','Days after 2020-02-02', show_Sus = False, death_rate = 0.03)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Estimate the transmission probablity: 0.04 \n",
      "Estimated R0(basic reproduction number): 3.7\n",
      "\n",
      "Maximum infected case:  25812\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "case4: case 1 + case 2\n",
    "\"\"\"\n",
    "\n",
    "Est = Estimate_parameter(nu = 1/20, k = 5, t = t, I = I)\n",
    "\n",
    "N = 9000000\n",
    "I0 = 38500 *1/5\n",
    "E0 = 38500 * 4/5\n",
    "R0 = I0 * (0.03+0.03) # suppose the death rate is 3% (official), equal to cure rate\n",
    "k = 1\n",
    "# estimate beta and R0\n",
    "Est_beta = Est._estimate_transmission_probablity()*k\n",
    "\n",
    "case2 = Estimate_Wuhan_Outbreak(Est, k = 1, N=9000000,\n",
    "                E0 = E0, I0 = I0, R0 = R0, T=7, econ = 120)\n",
    "result3 = case2._run_SIER('Case 4: Forecat 2019-nCoV Outbreak in Wuhan after 2020-01-23 using estimated data',\n",
    "        'Wuhan Population','Days after 2020-01-23', show_Sus = False, death_rate = 0.03,)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Estimate the transmission probablity: 0.04 \n",
      "Estimated R0(basic reproduction number): 3.7\n",
      "\n",
      "Maximum infected case:  150900\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "case5: case 1 + case 2 + case 3\n",
    "\"\"\"\n",
    "\n",
    "Est = Estimate_parameter(nu = 1/20, k = 5, t = t, I = I)\n",
    "\n",
    "N = 9000000\n",
    "I0 = 38500 *1/5\n",
    "E0 = 38500 * 4/5\n",
    "R0 = I0 * (0.03+0.03) # suppose the death rate is 3% (official), equal to cure rate\n",
    "k = 1\n",
    "# estimate beta and R0\n",
    "Est_beta = Est._estimate_transmission_probablity()*k\n",
    "\n",
    "case2 = Estimate_Wuhan_Outbreak(Est, k = 2, N=9000000,\n",
    "                E0 = E0, I0 = I0, R0 = R0, T=7, econ = 120)\n",
    "result3 = case2._run_SIER('Case 5: Forecat 2019-nCoV Outbreak in Wuhan after 2020-01-23 using estimated data',\n",
    "        'Wuhan Population','Days after 2020-01-23', show_Sus = False, death_rate = 0.03,)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### SIR model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Estimate the transmission probablity: 0.04 \n",
      "Estimated R0(basic reproduction number): 2.9\n",
      "\n",
      "Maximum infected case:  3243932\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 湖北航天医院医师胡电波的话说(1月底)，汇总后统计发烧人群为10万人\n",
    "\"\"\"\n",
    "Baseline SIR model: before 23 Jan \n",
    "\"\"\"\n",
    "nu = 1/14\n",
    "k = 5\n",
    "S0 = N = 11000000\n",
    "\n",
    "# estimate beta and R0\n",
    "Est = Estimate_parameter(nu = nu, k = k, t = t, I = I)\n",
    "print(Est)\n",
    "\n",
    "# run SIR model\n",
    "sir = SIR(eons=240, Susceptible=N-1, Infected=1, Resistant=0, \n",
    "          rateSI=Est.beta, rateIR=nu)\n",
    "result = sir.run()\n",
    "sir.plot('Estimated 2019-nCoV cases Since 2019-12-08 without Control',\n",
    "        'Wuhan Population (x 10 million)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
